A purse at radius 2.00m and a wallet at radius 3.00m travel in uniform circular motion on the floor of a merry-go-round as the ride turns. They are on the same radial line. At one instant, the acceleration of the purse is (2.00 m/s2) i +(4.00 m/s2)j. At that instant and in unit-vector notation, what is the acceleration of the wallet?

 

Can somebody give me some hints on how to tackle this question? What is the relation between the radius of the individual items and their acceleration? I just started on this topic yesterday. =.=

Here are some hints. The given acceleration is enough information to locate where on the circle the purse is currently located. You will need this to locate where the wallet is. And, the amount of acceleration of a point for rigid body rotation is a function of the distance from the center of rotation. Obviously, the center of the merry-go-round has no acceleration since it isn't going anywhere, and the edge is accelerating a lot. You should be able to figure out or look up in your text what the relation between distance and acceleration is.